Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Calculator

✖Part of Span Length is described as the part of the beam length.ⓘ Part of Span Length [a]			+10% -10%
✖Thrust Force acting perpendicular to the job piece.ⓘ Thrust Force [Ft]			+10% -10%
✖Span Length is the end to end distance between any beam or slab.ⓘ Span Length [L]			+10% -10%
✖The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation).ⓘ Deflection due to Moments on Arch Dam [δ]			+10% -10%
✖Moment of Inertia in Prestress is the Moment of Inertia which is defined as the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia in Prestress [I_p]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon [E]

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Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = (Part of Span Length*(3-4*Part of Span Length^2)*Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress)
E = (a*(3-4*a^2)*Ft*L^3)/(48*δ*I_p)
This formula uses 6 Variables

Variables Used

Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Part of Span Length - Part of Span Length is described as the part of the beam length.
Thrust Force - (Measured in Newton) - Thrust Force acting perpendicular to the job piece.
Span Length - (Measured in Meter) - Span Length is the end to end distance between any beam or slab.
Deflection due to Moments on Arch Dam - (Measured in Meter) - The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation).
Moment of Inertia in Prestress - (Measured in Kilogram Square Meter) - Moment of Inertia in Prestress is the Moment of Inertia which is defined as the measure of the resistance of a body to angular acceleration about a given axis.

STEP 1: Convert Input(s) to Base Unit

Part of Span Length: 0.8 --> No Conversion Required
Thrust Force: 311.6 Newton --> 311.6 Newton No Conversion Required
Span Length: 5 Meter --> 5 Meter No Conversion Required
Deflection due to Moments on Arch Dam: 48.1 Meter --> 48.1 Meter No Conversion Required
Moment of Inertia in Prestress: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (a*(3-4*a^2)*Ft*L^3)/(48*δ*I_p) --> (0.8*(3-4*0.8^2)*311.6*5^3)/(48*48.1*1.125)

Evaluating ... ...

E = 5.27850927850927

STEP 3: Convert Result to Output's Unit

5.27850927850927 Pascal --> No Conversion Required

FINAL ANSWER

5.27850927850927 ≈ 5.278509 Pascal <-- Young's Modulus

(Calculation completed in 00.020 seconds)

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< Deflection due to Prestressing Force Calculators

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon

LaTeX Go Young's Modulus = (5/384)*((Upward Thrust*Span Length^4)/(Deflection due to Moments on Arch Dam*Second Moment of Area))

Deflection due to Prestressing for Parabolic Tendon

LaTeX Go Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area))

Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon

LaTeX Go Upward Thrust = (Deflection due to Moments on Arch Dam*384*Young's Modulus*Second Moment of Area)/(5*Span Length^4)

Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon

LaTeX Go Flexural Rigidity = (5/384)*((Upward Thrust*Span Length^4)/Deflection due to Moments on Arch Dam)

Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Formula

LaTeX Go

What is meant by Flexural Rigidity?

Flexural rigidity is defined as the force couple required to bend a fixed non-rigid structure by one unit of curvature.

How to Calculate Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon?

Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon calculator uses Young's Modulus = (Part of Span Length*(3-4*Part of Span Length^2)*Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress) to calculate the Young's Modulus, The Young's Modulus given Deflection due to Prestressing for doubly Harped Tendon is defined as the relationship between stress (force per unit area) and strain (proportional deformation in an object. Young's Modulus is denoted by E symbol.

How to calculate Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon using this online calculator? To use this online calculator for Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon, enter Part of Span Length (a), Thrust Force (Ft), Span Length (L), Deflection due to Moments on Arch Dam (δ) & Moment of Inertia in Prestress (I_p) and hit the calculate button. Here is how the Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon calculation can be explained with given input values -> 5.278509 = (0.8*(3-4*0.8^2)*311.6*5^3)/(48*48.1*1.125).

FAQ

What is Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon?

The Young's Modulus given Deflection due to Prestressing for doubly Harped Tendon is defined as the relationship between stress (force per unit area) and strain (proportional deformation in an object and is represented as E = (a*(3-4*a^2)*Ft*L^3)/(48*δ*I_p) or Young's Modulus = (Part of Span Length*(3-4*Part of Span Length^2)*Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress). Part of Span Length is described as the part of the beam length, Thrust Force acting perpendicular to the job piece, Span Length is the end to end distance between any beam or slab, The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation) & Moment of Inertia in Prestress is the Moment of Inertia which is defined as the measure of the resistance of a body to angular acceleration about a given axis.

How to calculate Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon?

The Young's Modulus given Deflection due to Prestressing for doubly Harped Tendon is defined as the relationship between stress (force per unit area) and strain (proportional deformation in an object is calculated using Young's Modulus = (Part of Span Length*(3-4*Part of Span Length^2)*Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress). To calculate Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon, you need Part of Span Length (a), Thrust Force (Ft), Span Length (L), Deflection due to Moments on Arch Dam (δ) & Moment of Inertia in Prestress (I_p). With our tool, you need to enter the respective value for Part of Span Length, Thrust Force, Span Length, Deflection due to Moments on Arch Dam & Moment of Inertia in Prestress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Young's Modulus?

In this formula, Young's Modulus uses Part of Span Length, Thrust Force, Span Length, Deflection due to Moments on Arch Dam & Moment of Inertia in Prestress. We can use 2 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = (5/384)*((Upward Thrust*Span Length^4)/(Deflection due to Moments on Arch Dam*Second Moment of Area))
Young's Modulus = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress)

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